Geodesic
Unsolvability of finite groups isospectral to the automorphism group of the second sporadic Janko group
Algebra i logika, Tome 62 (2023) no. 1, pp. 71-75

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For a finite group $G$, the spectrum is the set $\omega(G)$ of element orders of the group $G$. The spectrum of $G$ is closed under divisibility and is therefore uniquely determined by the set $\mu(G)$ consisting of elements of $\omega(G)$ that are maximal with respect to divisibility. We prove that a finite group isospectral to ${\rm Aut}(J_2)$ is unsolvable.
Keywords: spectrum
Mots-clés : automorphism group, Janko group. 
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     author = {A. Kh. Zhurtov and D. V. Lytkina and V. D. Mazurov},
     title = {Unsolvability of finite groups isospectral to the automorphism group of the second sporadic {Janko} group},
     journal = {Algebra i logika},
     pages = {71--75},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2023_62_1_a4/}
}
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A. Kh. Zhurtov; D. V. Lytkina; V. D. Mazurov. Unsolvability of finite groups isospectral to the automorphism group of the second sporadic Janko group. Algebra i logika, Tome 62 (2023) no. 1, pp. 71-75. http://geodesic.mathdoc.fr/item/AL_2023_62_1_a4/